Homework 05
Version 1

 

Design due at Fleck's office at noon on Saturday, 2, 1999
Code must be submitted by 8:00 AM on Monday, October 4, 1999

In this assignment you will use for loops to compute some simple mathematical functions.

Note: The purpose of this assignment is to do the computations using only primitive arithmetic. Do not call any functions from the Math package.

  1. The value of e (the base of the natural logarithms) raised to any number (floating point or integer) x can be computed by the series: 
                          1      2      3      4
           x         x      x      x      x
          e  =  1 + ---- + ---- + ---- + ---- + ...
                     1!     2!     3!     4!
    You must write a program ApproxE which uses this series to approximate the value of e raised to a given power.

    Ask the user for the a floating point (double) value for the exponent x. Also ask them for an integer (int) value n, the number of terms of the expansion they want you to compute. Compute the sum of that many terms of the expansion and print the result for the user.

    The number of terms obtained from the user does not include the initial 1. So if the user asks for two terms, you would compute: 

                          1      2 
           x         x      x  
          e  =  1 + ---- + ----
                     1!     2!

  2. Write a program DisplayPrimes which asks the user for a number and displays all the prime numbers up to (and, possibly, including) that number. (Note that 1 is not considered a prime number.)

Last modified 16 Sept for Fall 99 cs5 by fleck@cs.hmc.edu

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